4 1 4 3 Consider the matrices A = 1 2 4 B = 0-131 the product of matrix AB is 260 5 2 O A. 12 27 -30 13 8 -4 26 12 B. 12 27 30 13 8 -4 26 12 12 27 30 13 8 4 26 12 OD. 12 27 30 13 8. 4. - 26 12

Q: 1 11 [600 Let A= 16 5 and D=0 4 040.Compute AD and DA. Explain how the columns or rows of A. 157 0 0…

A: Here we multiply and check.

Q: 7. Consider the two matrices A and B write an elementary matrix E such that B = EA -2 3 8 A = [5, 3²…

A: Solution : Given that

Q: 2 (²). 4 -2 -1 5 3 ). Compute all the valid products between these three matrices. E: Let A = B = 3…

A: A=2-34, B=3-201-14553, C=403 To Do:Compute the valid products between the given matrices.

Q: Do the columns of the matrix span IR? Select an Answer v 1. 3 3 -3 3 A = -5 -4 3 -1 -4 -4 4 -4…

A:

Q: 4. A = -1 0 5-2 245 0 -3 , B= 7 650 -3 -4 2 -1,c=7,d=5 7 9

A: we are given the matrices and we need to find out the matrix cA+dB

Q: 5 3 0 1 Find the size of the matrix -30 50]

A: The objective is to find the size of the matrix.

Q: The message 15 16 56 7415 18 43 62 23 28 33 12 - 18 49 630 was encoded with matrix A. Decode the…

A: To decode the message encoded with matrix A, we need to perform matrix multiplication with the…

Q: Find the inverse of the matrix, if it exists. A= -6 -6 4 - 3 OA. OC. 1 14 2 21 - 14 2 21 - || - || 1…

A: The matrix given us,

Q: Find an LU factorization of the matrix A. 3 5) A = 6 24 7 3 6 -5 22

A:

Q: compute the indicated matrices B -C

A: To compute the indicated matrices B – C Given information:

Q: compute the indicated matrices AB

A:

Q: 11 10 The vector -6 is a linear combination of the vectors and if and only if the matrix equation A…

A:

Q: а 7. Find all 2 x 2 matrices A = satisfying с d a. A² = 12 *b. A? = 0 c. A? = -12

A:

Q: 1 2 1] 2a. Encode the message The British are Coming using the matrix 2 3 1 |-2 0 1 2b. Decode the…

A: Given matrix 121 231 −201 To encode the message "The British are Coming" using the above matrix. To…

Q: (a) (BH) By direct multiplication, show that the listed vectors z; are eigenvectors for C1, and find…

A:

Q: Find the values of a, b and c which make the following matrix equation hold: 4 -19 [158 -196 -117]…

A:

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

A: The given matrix and a vector, and .The objective is to write the vector  as a linear combination of…

Q: O Given the matrices 3-1 A =| 0 aud B=| 2 -1 31 eveluate aund simplity a) G = AB B) D = BA-3B2 c) E=…

A: We are given the matrix is A and B and we need to calculate the matrix C , D and E in simple form.